2510472960 has 288 divisors, whose sum is σ = 9434940480. Its totient is φ = 629932032.

The previous prime is 2510472959. The next prime is 2510472961. The reversal of 2510472960 is 692740152.

It is an interprime number because it is at equal distance from previous prime (2510472959) and next prime (2510472961).

It is a tau number, because it is divible by the number of its divisors (288).

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 (2510472961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585384 + ... + 589656.

It is an arithmetic number, because the mean of its divisors is an integer number (32760210).

Almost surely, 2^2510472960 is an apocalyptic number.

2510472960 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 2510472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717470240).

2510472960 is an abundant number, since it is smaller than the sum of its proper divisors (6924467520).

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

2510472960 is a wasteful number, since it uses less digits than its factorization.

2510472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2510472960 is about 50104.6201462500. The cubic root of 2510472960 is about 1359.1013671349.

The spelling of 2510472960 in words is "two billion, five hundred ten million, four hundred seventy-two thousand, nine hundred sixty".