2154792640 has 504 divisors, whose sum is σ = 7245833616. Its totient is φ = 599961600.

The previous prime is 2154792637. The next prime is 2154792649. The reversal of 2154792640 is 462974512.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2154792593 and 2154792602.

It is not an unprimeable number, because it can be changed into a prime (2154792649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69509425 + ... + 69509455.

It is an arithmetic number, because the mean of its divisors is an integer number (14376654).

Almost surely, 2^2154792640 is an apocalyptic number.

2154792640 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 2154792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622916808).

2154792640 is an abundant number, since it is smaller than the sum of its proper divisors (5091040976).

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

2154792640 is a wasteful number, since it uses less digits than its factorization.

2154792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 2154792640 is about 46419.7440751239. The cubic root of 2154792640 is about 1291.6211895100.

The spelling of 2154792640 in words is "two billion, one hundred fifty-four million, seven hundred ninety-two thousand, six hundred forty".