2612994465120 has 384 divisors, whose sum is σ = 9558205493760. Its totient is φ = 594482872320.

The previous prime is 2612994465113. The next prime is 2612994465127. The reversal of 2612994465120 is 215644992162.

It is an interprime number because it is at equal distance from previous prime (2612994465113) and next prime (2612994465127).

It is a super-2 number, since 2×2612994465120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612994465127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4592187 + ... + 5129733.

It is an arithmetic number, because the mean of its divisors is an integer number (24891160140).

Almost surely, 2^{2612994465120} is an apocalyptic number.

2612994465120 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 2612994465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779102746880).

2612994465120 is an abundant number, since it is smaller than the sum of its proper divisors (6945211028640).

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

2612994465120 is a wasteful number, since it uses less digits than its factorization.

2612994465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537638 (or 537630 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 2612994465120 in words is "two trillion, six hundred twelve billion, nine hundred ninety-four million, four hundred sixty-five thousand, one hundred twenty".