2029406400 has 420 divisors, whose sum is σ = 8529053808. Its totient is φ = 463656960.

The previous prime is 2029406389. The next prime is 2029406417. The reversal of 2029406400 is 46049202.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906082 + ... + 908318.

Almost surely, 2^2029406400 is an apocalyptic number.

2029406400 is a gapful number since it is divisible by the number (20) 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 2029406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264526904).

2029406400 is an abundant number, since it is smaller than the sum of its proper divisors (6499647408).

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

2029406400 is a wasteful number, since it uses less digits than its factorization.

2029406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2029406400 is about 45048.9333946987. The cubic root of 2029406400 is about 1266.0659878904.

The spelling of 2029406400 in words is "two billion, twenty-nine million, four hundred six thousand, four hundred".