2010400928 has 96 divisors (see below), whose sum is σ = 4268920320. Its totient is φ = 929744640.

The previous prime is 2010400919. The next prime is 2010400937. The reversal of 2010400928 is 8290040102.

It is an interprime number because it is at equal distance from previous prime (2010400919) and next prime (2010400937).

It is a super-2 number, since 2×2010400928² = 8083423782606522368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2010400897 and 2010400906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2909063 + ... + 2909753.

It is an arithmetic number, because the mean of its divisors is an integer number (44467920).

Almost surely, 2^2010400928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134460160).

2010400928 is an abundant number, since it is smaller than the sum of its proper divisors (2258519392).

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

2010400928 is a wasteful number, since it uses less digits than its factorization.

2010400928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2010400928 is about 44837.4946668522. The cubic root of 2010400928 is about 1262.1013327781.

The spelling of 2010400928 in words is "two billion, ten million, four hundred thousand, nine hundred twenty-eight".