2391940628100 has 243 divisors, whose sum is σ = 7751719742949. Its totient is φ = 616903819200.

The previous prime is 2391940628059. The next prime is 2391940628159. The reversal of 2391940628100 is 18260491932.

The square root of 2391940628100 is 1546590.

It is a perfect power (a square), and thus also a powerful number.

2391940628100 is a `hidden beast` number, since 2 + 3 + 9 + 1 + 9 + 4 + 0 + 628 + 10 + 0 = 666.

2391940628100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 861098626116 + 1530842001984 = 927954^2 + 1237272^2 .

It is a super-2 number, since 2×2391940628100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1438327869 + ... + 1438329531.

Almost surely, 2^{2391940628100} is an apocalyptic number.

2391940628100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2391940628100 is the 1546590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2391940628100

2391940628100 is an abundant number, since it is smaller than the sum of its proper divisors (5359779114849).

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

2391940628100 is a wasteful number, since it uses less digits than its factorization.

2391940628100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2391940628100 in words is "two trillion, three hundred ninety-one billion, nine hundred forty million, six hundred twenty-eight thousand, one hundred".