2472641600 has 336 divisors, whose sum is σ = 7286158656. Its totient is φ = 814080000.

The previous prime is 2472641573. The next prime is 2472641603. The reversal of 2472641600 is 61462742.

It is a super-2 number, since 2×2472641600² = 12227912964101120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2472641603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23108747 + ... + 23108853.

It is an arithmetic number, because the mean of its divisors is an integer number (21684996).

Almost surely, 2^2472641600 is an apocalyptic number.

2472641600 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 2472641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643079328).

2472641600 is an abundant number, since it is smaller than the sum of its proper divisors (4813517056).

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

2472641600 is a wasteful number, since it uses less digits than its factorization.

2472641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2472641600 is about 49725.6633942676. The cubic root of 2472641600 is about 1352.2398300077.

The spelling of 2472641600 in words is "two billion, four hundred seventy-two million, six hundred forty-one thousand, six hundred".