2462552400 has 480 divisors, whose sum is σ = 10185062400. Its totient is φ = 493516800.

The previous prime is 2462552359. The next prime is 2462552401. The reversal of 2462552400 is 42552642.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2462552401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2679141 + ... + 2680059.

It is an arithmetic number, because the mean of its divisors is an integer number (21218880).

Almost surely, 2^2462552400 is an apocalyptic number.

2462552400 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 2462552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092531200).

2462552400 is an abundant number, since it is smaller than the sum of its proper divisors (7722510000).

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

2462552400 is a wasteful number, since it uses less digits than its factorization.

2462552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2462552400 is about 49624.1110751618. Note that the first 3 decimals coincide. The cubic root of 2462552400 is about 1350.3981267475.

The spelling of 2462552400 in words is "two billion, four hundred sixty-two million, five hundred fifty-two thousand, four hundred".