2466953760 has 96 divisors (see below), whose sum is σ = 7796682432. Its totient is φ = 655672320.

The previous prime is 2466953689. The next prime is 2466953771. The reversal of 2466953760 is 673596642.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138990 + ... + 155730.

It is an arithmetic number, because the mean of its divisors is an integer number (81215442).

Almost surely, 2^2466953760 is an apocalyptic number.

2466953760 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 2466953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898341216).

2466953760 is an abundant number, since it is smaller than the sum of its proper divisors (5329728672).

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

2466953760 is a wasteful number, since it uses less digits than its factorization.

2466953760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17066 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The square root of 2466953760 is about 49668.4382681799. The cubic root of 2466953760 is about 1351.2021774264.

The spelling of 2466953760 in words is "two billion, four hundred sixty-six million, nine hundred fifty-three thousand, seven hundred sixty".