2615428800 has 252 divisors, whose sum is σ = 9617933520. Its totient is φ = 673290240.

The previous prime is 2615428799. The next prime is 2615428807. The reversal of 2615428800 is 88245162.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2615428807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 414469 + ... + 420731.

Almost surely, 2^2615428800 is an apocalyptic number.

2615428800 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 2615428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808966760).

2615428800 is an abundant number, since it is smaller than the sum of its proper divisors (7002504720).

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

2615428800 is a wasteful number, since it uses less digits than its factorization.

2615428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2615428800 is about 51141.2631834608. The cubic root of 2615428800 is about 1377.7834612630.

The spelling of 2615428800 in words is "two billion, six hundred fifteen million, four hundred twenty-eight thousand, eight hundred".