2149035452928 has 1680 divisors, whose sum is σ = 8276446987776. Its totient is φ = 545001799680.

The previous prime is 2149035452903. The next prime is 2149035452929. The reversal of 2149035452928 is 8292545309412.

2149035452928 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 0 + 3 + 545 + 2 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2149035452929) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13688123826 + ... + 13688123982.

Almost surely, 2^{2149035452928} is an apocalyptic number.

2149035452928 is a gapful number since it is divisible by the number (28) 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 2149035452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138223493888).

2149035452928 is an abundant number, since it is smaller than the sum of its proper divisors (6127411534848).

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

2149035452928 is an equidigital number, since it uses as much as digits as its factorization.

2149035452928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2149035452928 in words is "two trillion, one hundred forty-nine billion, thirty-five million, four hundred fifty-two thousand, nine hundred twenty-eight".