2610157680 has 360 divisors, whose sum is σ = 10000364400. Its totient is φ = 608145408.

The previous prime is 2610157657. The next prime is 2610157687. The reversal of 2610157680 is 867510162.

2610157680 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 1 + 576 + 80 = 666.

2610157680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2610157680² = 13625846228925964800, which contains 22 as substring.

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 (2610157687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2311356 + ... + 2312484.

It is an arithmetic number, because the mean of its divisors is an integer number (27778790).

Almost surely, 2^2610157680 is an apocalyptic number.

2610157680 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 2610157680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5000182200).

2610157680 is an abundant number, since it is smaller than the sum of its proper divisors (7390206720).

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

2610157680 is a wasteful number, since it uses less digits than its factorization.

2610157680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2610157680 is about 51089.7022892089. The cubic root of 2610157680 is about 1376.8572464952.

The spelling of 2610157680 in words is "two billion, six hundred ten million, one hundred fifty-seven thousand, six hundred eighty".