2657966040 has 384 divisors, whose sum is σ = 9441169920. Its totient is φ = 646963200.

The previous prime is 2657966023. The next prime is 2657966041. The reversal of 2657966040 is 406697562.

It is a super-3 number, since 3×2657966040³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657966041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16929642 + ... + 16929798.

It is an arithmetic number, because the mean of its divisors is an integer number (24586380).

Almost surely, 2^2657966040 is an apocalyptic number.

2657966040 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 2657966040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720584960).

2657966040 is an abundant number, since it is smaller than the sum of its proper divisors (6783203880).

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

2657966040 is a wasteful number, since it uses less digits than its factorization.

2657966040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2657966040 is about 51555.4656656304. The cubic root of 2657966040 is about 1385.2127360709.

The spelling of 2657966040 in words is "two billion, six hundred fifty-seven million, nine hundred sixty-six thousand, forty".