27242924940 has 864 divisors, whose sum is σ = 110854840320. Its totient is φ = 5532468480.

The previous prime is 27242924911. The next prime is 27242924941. The reversal of 27242924940 is 4942924272.

27242924940 is a `hidden beast` number, since 2 + 72 + 4 + 2 + 92 + 494 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (27242924941) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 214511157 + ... + 214511283.

Almost surely, 2^27242924940 is an apocalyptic number.

27242924940 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 27242924940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55427420160).

27242924940 is an abundant number, since it is smaller than the sum of its proper divisors (83611915380).

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

27242924940 is a wasteful number, since it uses less digits than its factorization.

27242924940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27242924940 in words is "twenty-seven billion, two hundred forty-two million, nine hundred twenty-four thousand, nine hundred forty".