2493402912 has 720 divisors, whose sum is σ = 10173594816. Its totient is φ = 578534400.

The previous prime is 2493402911. The next prime is 2493402931. The reversal of 2493402912 is 2192043942.

2493402912 is a `hidden beast` number, since 24 + 9 + 340 + 291 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2493402911) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80432337 + ... + 80432367.

Almost surely, 2^2493402912 is an apocalyptic number.

2493402912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493402912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086797408).

2493402912 is an abundant number, since it is smaller than the sum of its proper divisors (7680191904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2493402912 is a wasteful number, since it uses less digits than its factorization.

2493402912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2493402912 is about 49933.9855409119. The cubic root of 2493402912 is about 1356.0139398677.

It can be divided in two parts, 249340 and 2912, that added together give a palindrome (252252).

The spelling of 2493402912 in words is "two billion, four hundred ninety-three million, four hundred two thousand, nine hundred twelve".